Physics 9702 · AS & A Level · Characteristics of alternating currents

Characteristics of alternating currents — practice question

(a)[2]

Explain what is meant by the root-mean-square (r.m.s.) value of an alternating voltage.

(b(i))[1]

An alternating voltage $V$ is represented by $V = 220\sin(120\pi t)$, with $V$ measured in volts and $t$ measured in seconds. Determine the peak voltage.

(b(ii))[1]

An alternating voltage $V$ is represented by $V = 220\sin(120\pi t)$. Determine the r.m.s. voltage.

(b(iii))[1]

An alternating voltage $V$ is represented by $V = 220\sin(120\pi t)$. Determine the frequency.

(c)[2]

The alternating voltage in (b) is connected across a resistor so that the mean power output from the resistor is $1.5\,\text{kW}$. Calculate the resistance of the resistor.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Meaning of r.m.s. voltage

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